Gorenstein derived categories

被引：90

作者：

Gao, Nan ^{[2
]}

Zhang, Pu ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2010年 / 323卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Gorenstein-projective modules; Gorenstein derived categories; Gorenstein derived equivalences; MODULES;

D O I：

10.1016/j.jalgebra.2010.01.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Gorenstein derived categories are defined, and the relation with the usual derived categories is given. The bounded Corenstein derived categories of Gorenstein rings and of finite-dimensional algebras are explicitly described via the homotopy categories of Gorenstein-projective modules, and some applications are obtained. Gorenstein derived equivalences between CM-finite Gorenstein algebras are discussed. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2041 / 2057

页数：17

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